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Finding the Third Proportional to 814 and 978

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Solution

The third proportional to 814 and 978 is: 1,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    814/978 = 978/x
  3. Step 3: Cross multiply
    814x = 978 × 978
  4. Step 4: Simplify right side
    814x = 956,484
  5. Step 5: Solve for x
    x = 956,484/814
  6. Step 6: Final answer
    x = 1,175.04

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